activity
20192023
most citedLeveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam

2 citations · 3 across the 9 of their papers we have counts for

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5 papers · 1 filter

math.NA2023

Fourier analysis of membrane locking and unlocking

Rene R. Hiemstra, Federico Fuentes, Dominik Schillinger

Membrane locking in finite element approximations of thin beams and shells has remained an unresolved topic despite four decades of research. In this article, we utilize Fourier an…

math.NA2021

A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces

Stein K. F. Stoter, Etienne Jessen, Viktor Niedens +1

In this article, we develop a reduced basis method for efficiently solving the coupled Stokes/Darcy equations with parametric internal geometry. To accommodate possible changes in…

math.NA2020

Unification of variational multiscale analysis and Nitsche's method, and a resulting boundary layer fine-scale model

Stein K. F. Stoter, Marco F. P. ten Eikelder, Frits de Prenter +4

We show that in the variational multiscale framework, the weak enforcement of essential boundary conditions via Nitsche's method corresponds directly to a particular choice of proj…

math.NA20191 cited

A Framework for Data-Driven Computational Dynamics Based on Nonlinear Optimization

Cristian Guillermo Gebhardt, Marc Christian Steinbach, Dominik Schillinger +1

In this article, we present an extension of the formulation recently developed by the authors (A Framework for Data-Driven Computational Mechanics Based on Nonlinear Optimization,…

math.NA2019

A Framework for Data-Driven Computational Mechanics Based on Nonlinear Optimization

Cristian Guillermo Gebhardt, Dominik Schillinger, Marc Christian Steinbach +1

Data-Driven Computational Mechanics is a novel computing paradigm that enables the transition from standard data-starved approaches to modern data-rich approaches. At this early st…